Implement fraction, IsInfinity and IsNaN in oocLowReal.Mod.

This commit is contained in:
David Brown 2016-08-18 20:39:23 +01:00
parent c0d5b8dbfd
commit 2271062636
5 changed files with 126 additions and 52 deletions

View file

@ -23,7 +23,7 @@ MODULE oocLowReal;
*)
IMPORT S := SYSTEM, Console;
IMPORT S := SYSTEM, Console, Reals;
(*
@ -114,21 +114,6 @@ VAR
(* Error handler default stub which can be replaced *)
(* PROCEDURE power0(i, j : INTEGER) : REAL; (* used to calculate sml at runtime; -- noch *)
VAR k : INTEGER;
p : REAL;
BEGIN
k := 1;
p := i;
REPEAT
p := p * i;
INC(k);
UNTIL k=j;
RETURN p;
END power0;*)
PROCEDURE DefaultHandler (errno : INTEGER);
BEGIN
err:=errno
@ -140,8 +125,6 @@ BEGIN
END ClearError;
(*** Refactor for 64 bit support.
PROCEDURE exponent*(x: REAL): INTEGER;
(*
The value of the call exponent(x) shall be the exponent value of `x'
@ -151,10 +134,9 @@ PROCEDURE exponent*(x: REAL): INTEGER;
BEGIN
(* NOTE: x=0.0 should raise exception *)
IF x=ZERO THEN RETURN 0
ELSE RETURN SHORT(S.LSH(S.VAL(LONGINT,x),-expBit) MOD 256)-expOffset
ELSE RETURN Reals.Expo(x) - expOffset
END
END exponent;
*)
PROCEDURE exponent10*(x: REAL): INTEGER;
(*
@ -171,34 +153,58 @@ BEGIN
RETURN exp
END exponent10;
(*** Refactor for 64 bit support.
(* TYPE REAL: 1/sign, 8/exponent, 23/significand *)
PROCEDURE fraction*(x: REAL): REAL;
(*
The value of the call fraction(x) shall be the significand (or
significant) part of `x'. Hence the following relationship shall
hold: x = scale(fraction(x), exponent(x)).
*)
VAR c: CHAR;
BEGIN
IF x=ZERO THEN RETURN ZERO
ELSE
(* Set top 7 bits of exponent to 0111111 *)
S.GET(S.ADR(x)+3, c);
c := CHR(((ORD(c) DIV 128) * 128) + 63); (* Set X0111111 (X unchanged) *)
S.PUT(S.ADR(x)+3, c);
(* Set bottom bit of exponent to 0 *)
S.GET(S.ADR(x)+2, c);
c := CHR(ORD(c) MOD 128); (* Set 0XXXXXXX (X unchanged) *)
S.PUT(S.ADR(x)+2, c);
RETURN x * 2.0;
END
(*
CONST eZero={(hiBit+2)..29};
BEGIN
IF x=ZERO THEN RETURN ZERO
ELSE RETURN S.VAL(REAL,(S.VAL(SET,x)*nMask)+eZero)*2.0 (* set the mantissa's exponent to zero *)
END
*)
END fraction;
PROCEDURE IsInfinity * (real: REAL) : BOOLEAN;
CONST signMask={0..30};
VAR c0, c1, c2, c3: CHAR;
BEGIN
RETURN S.VAL(SET,real)*signMask=expMask
S.GET(S.ADR(real)+0, c3);
S.GET(S.ADR(real)+1, c2);
S.GET(S.ADR(real)+2, c1);
S.GET(S.ADR(real)+3, c0);
RETURN (ORD(c0) MOD 128 = 127) & (ORD(c1) = 128) & (ORD(c2) = 0) & (ORD(c3) = 0)
END IsInfinity;
PROCEDURE IsNaN * (real: REAL) : BOOLEAN;
CONST fracMask={0..hiBit};
VAR sreal: SET;
VAR c0, c1, c2, c3: CHAR;
BEGIN
sreal:=S.VAL(SET, real);
RETURN (sreal*expMask=expMask) & (sreal*fracMask#{})
S.GET(S.ADR(real)+0, c3);
S.GET(S.ADR(real)+1, c2);
S.GET(S.ADR(real)+2, c1);
S.GET(S.ADR(real)+3, c0);
RETURN (ORD(c0) MOD 128 = 127)
& (ORD(c1) DIV 128 = 1)
& ((ORD(c1) MOD 128 # 0) OR (ORD(c2) # 0) OR (ORD(c3) # 0))
END IsNaN;
*)
PROCEDURE sign*(x: REAL): REAL;
(*

View file

@ -46,21 +46,30 @@ MODULE Reals;
PROCEDURE Expo*(x: REAL): INTEGER;
VAR i: INTEGER;
VAR i: INTEGER;
BEGIN
SYSTEM.GET(SYSTEM.ADR(x)+2, i);
RETURN (i DIV 127) MOD 256
RETURN (i DIV 128) MOD 256
END Expo;
PROCEDURE SetExpo*(VAR x: REAL; ex: INTEGER);
VAR c: CHAR;
BEGIN
(* Replace exponent bits within top byte of REAL *)
SYSTEM.GET(SYSTEM.ADR(x)+3, c);
SYSTEM.PUT(SYSTEM.ADR(x)+3, CHR(((ORD(c) DIV 128) * 128) + ((ex DIV 2) MOD 128)));
(* Replace exponent bits within 2nd byte of REAL *)
SYSTEM.GET(SYSTEM.ADR(x)+2, c);
SYSTEM.PUT(SYSTEM.ADR(x)+2, CHR((ORD(c) MOD 128) + ((ex MOD 2) * 128)))
END SetExpo;
PROCEDURE ExpoL*(x: LONGREAL): INTEGER;
VAR i: INTEGER; l: LONGINT;
VAR i: INTEGER;
BEGIN
SYSTEM.GET(SYSTEM.ADR(x)+6, i);
RETURN (i DIV 16) MOD 2048
END ExpoL;
(* Convert LONGREAL: Write positive integer value of x into array d.
The value is stored backwards, i.e. least significant digit
first. n digits are written, with trailing zeros fill.
@ -107,7 +116,7 @@ MODULE Reals;
BEGIN
i := 0; l := LEN(b);
WHILE i < l DO
by := SYSTEM.VAL(CHAR, d[i]);
by := SYSTEM.VAL(CHAR, b[i]);
d[i*2] := ToHex(ORD(by) DIV 16);
d[i*2+1] := ToHex(ORD(by) MOD 16);
INC(i)